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S_A_V [24]
3 years ago
12

The explicit formula for a sequence is an=−2+3/2(n−1) What is the 21st term of the sequence?

Mathematics
1 answer:
Anni [7]3 years ago
8 0

Step-by-step explanation:

From the given question it appears that (n-1) is in the numerator's place, if it is so, then let us solve it.

a_n =  - 2 +  \frac{3}{2}(n - 1)   \\ \\  \therefore \: a_{21} =  - 2 +  \frac{3}{2}  (21 - 1) \\  \\   \therefore \: a_{21} =  - 2 +  \frac{3}{2 }   \times \: 20\\  \\ \therefore \: a_{21} =  - 2 + 3 \times \: 10  \\  \\ \therefore \: a_{21} =  { -2  + 30}   \\  \\ \therefore \: a_{21} =  28   \\  \\  \huge \red{ \boxed{\therefore \: a_{21} =   28}  } \\  \\

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